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10.1, thermonetry,thermal expansion and calorimetry — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics10.1, thermonetry,thermal expansion and calorimetry1 Mark
MCQ
The volume of a metal sphere increases by $0.24\%$ when its temperature is raised by $40°C$. The coefficient of linear expansion of the metal is .......... $°C$
  • ✓
    $2 \times 10^{-5}$
  • B
    $6 \times 10^{-5}$
  • C
    $2.1 \times 10^{-5}$
  • D
    $1.2 \times 10^{-5}$
✓

Answer

Correct option: A.
$2 \times 10^{-5}$
a
(a) $\gamma = \frac{{\Delta V}}{{V.\Delta T}} = \frac{{0.24}}{{100 \times 40}} = 6 \times {10^{ - 5}}°C^{-1}$

$\Rightarrow$ $\alpha = \frac{\gamma }{3} = 2 \times {10^{ - 5}}°C^{-1}$

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